Then from the posterior distributions of \(A_\nu \)  and redshift \(z\)  obtained in [1]} for each GW events, one can calculate the posterior distribution of \({\cal G}_1\)  for each GW event. We plot the posterior probability distributions of \(|{\cal G}_1|\)  in Fig. REF . From this figure, we find that the posterior probability distributions of \({\cal G}_1\)  with 90% confidence intervals are consistent with the GR value \({\cal G}_1=0\)  for all the 12 GW events.
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